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Simplifying 5c + 34 = -2(1 + -7c) Reorder the terms: 34 + 5c = -2(1 + -7c) 34 + 5c = (1 * -2 + -7c * -2) 34 + 5c = (-2 + 14c) Solving 34 + 5c = -2 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. 34 + 5c + -14c = -2 + 14c + -14c Combine like terms: 5c + -14c = -9c 34 + -9c = -2 + 14c + -14c Combine like terms: 14c + -14c = 0 34 + -9c = -2 + 0 34 + -9c = -2 Add '-34' to each side of the equation. 34 + -34 + -9c = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9c = -2 + -34 -9c = -2 + -34 Combine like terms: -2 + -34 = -36 -9c = -36 Divide each side by '-9'. c = 4 Simplifying c = 4
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